This paper gives an operational semantics of priority term rewriting s
ystems (PRSs) by using conditional systems, whose reduction relation i
s decidable and stable under substitution. We also define the class of
strongly sequential PRSs and show that this class is decidable. Moreo
ver, we show that the index rewriting of strongly sequential PRSs give
s a normalizing strategy. (C) 1998-Elsevier Science B.V. All rights re
served.